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A128345 Numbers k such that (8^k - 5^k)/3 is prime. 19
2, 19, 1021, 5077, 34031, 46099, 65707, 347437 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms are primes.
No further terms up to 5000 - Harvey P. Dale, Mar 23 2011
a(8) > 10^5 - Robert Price, Dec 22 2012
a(9) > 10^6 - Jon Grantham, Jul 29 2023
LINKS
Jon Grantham and Andrew Granville, Fibonacci primes, primes of the form 2^n-k and beyond, arXiv:2307.07894 [math.NT], 2023.
MATHEMATICA
k=8; Do[p=Prime[n]; f=(k^p-5^p)/(k-5); If[ PrimeQ[f], Print[p] ], {n, 1, 200}]
Select[Range[5000], PrimeQ[(8^#-5^#)/3]&] (* Harvey P. Dale, Mar 23 2011 *)
PROG
(PARI) is(n)=isprime((8^n-5^n)/3) \\ Charles R Greathouse IV, Feb 17 2017
CROSSREFS
Sequence in context: A024228 A015191 A165937 * A013052 A012956 A012976
KEYWORD
hard,more,nonn
AUTHOR
Alexander Adamchuk, Feb 27 2007
EXTENSIONS
a(4)-a(7) from Robert Price, Dec 22 2012
a(8) from Jon Grantham, Jul 29 2023
STATUS
approved

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Last modified August 1 08:32 EDT 2024. Contains 374811 sequences. (Running on oeis4.)